Prime p₀= 2138930624271319337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2138927443936260041	0 50 60 78 168 180 192 198 290 296 308 320 410 428 438 488	-3180335059296
STPT(10)	2138927948964582857	0 2 54 56 72 74 90 92 144 146	-2675306736480
SPT(16)	2138928084570493061	0 42 60 86 96 102 110 138 170 198 206 212 222 248 266 308	-2539700826276
STPT(12)	2138928390786012479	0 2 12 14 42 44 78 80 108 110 120 122	-2233485306858
SPT(16)	2138929180144973479	0 54 90 102 142 172 202 222 370 390 420 450 490 502 538 592	-1444126345858
SPT(16)	2138930283838774969	0 22 34 54 112 124 132 160 204 232 240 252 310 330 342 364	-340432544368
STPT(10)	2138931063474767867	0 2 30 32 42 44 54 56 84 86	439203448530
STPT(10)	2138931196201381427	0 2 24 26 42 44 60 62 84 86	571930062090
SPT(16)	2138931874172466083	0 50 54 60 68 104 120 188 216 284 300 336 344 350 354 404	1249901146746
STPT(10)	2138931969804755087	0 2 30 32 42 44 54 56 84 86	1345533435750
SPT(16)	2138932190224610581	0 16 72 78 108 118 162 168 190 196 240 250 280 286 342 358	1565953291244